Question

1. Find the exact sum $\sum_{k=3}^{\infty} \frac{5 \cdot 2^{k-1}}{3^{k+1}}$ 2. Find the exact sum $\sum_{k=3}^{\infty} \frac{3}{(k+1)(k+3)}$ 3. Use the integral test to determine if $\sum_{k=2}^{\infty} \frac{1}{(2+k)^{3/2}}$ CG or DG.

          1. Find the exact sum $\sum_{k=3}^{\infty} \frac{5 \cdot 2^{k-1}}{3^{k+1}}$
2. Find the exact sum $\sum_{k=3}^{\infty} \frac{3}{(k+1)(k+3)}$
3. Use the integral test to determine if $\sum_{k=2}^{\infty} \frac{1}{(2+k)^{3/2}}$ CG or DG.

1. Find the exact sum ∑k=3^∞(5 · 2^k-1)/(3^k+1)
2. Find the exact sum ∑k=3^∞(3)/((k+1)(k+3))
3. Use the integral test to determine if ∑k=2^∞(1)/((2+k)^3/2) CG or DG.

Added by Amber J.

Calculus: Early Transcendentals

James Stewart 8th Edition

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please show work for all three 🫶 1.Find the exact sum 5*2-1 34+1 MM 2.Find the exact sum 3 k3k+1k+3 3.Use the integral test to determine if 1

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Question

1. Find the exact sum $\sum_{k=3}^{\infty} \frac{5 \cdot 2^{k-1}}{3^{k+1}}$ 2. Find the exact sum $\sum_{k=3}^{\infty} \frac{3}{(k+1)(k+3)}$ 3. Use the integral test to determine if $\sum_{k=2}^{\infty} \frac{1}{(2+k)^{3/2}}$ CG or DG.

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